Lineability, spaceability, and latticeability of subsets of C([0, 1]) and Sobolev spaces
This work is a contribution to the ongoing search for algebraic structures within a nonlinear setting. Here, we shall focus on the study of lineability of subsets of continuous functions on the one hand and within the setting of Sobolev spaces on the other (which represents a novelty in the area of...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/71543 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/71543 |
| Access Level: | acceso abierto |
| Palabra clave: | 512.64 Lineability Algebrability Continuous function Sobolev space Banach lattice Álgebra Análisis matemático Análisis funcional y teoría de operadores 1201 Álgebra 1202 Análisis y Análisis Funcional |
| Sumario: | This work is a contribution to the ongoing search for algebraic structures within a nonlinear setting. Here, we shall focus on the study of lineability of subsets of continuous functions on the one hand and within the setting of Sobolev spaces on the other (which represents a novelty in the area of research). |
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